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19: 70-74. 1913 On Trans. Amer. Math. , 14: 23-41. Doctoral dissertation, Clark University, 1911. [5] On some topological properties of plane curves and a theorem of Mobius. Amer. J. , 35: 189-200. [4] the existence of loci with given singularities. 1914 [7] Geometry on ruled surfaces. Amer. J. , 36: 392-394. On cubic surfaces and their nodes. Kansas Univ. , 9: 69-78. [8] The equation [9] Note on [6] 1915 of Picard-Fuehs for an algebraic surface with arbitrary singularities. Bull. Amer. Math.

Using rational coefficients, let S K be any homomorphism of H (K) into the rational numbers. K can be q imbedded topologically in a sphere of sufficiently high dimension in a sphere S; and (2n + 1 is adequate). Consider any imbedding of let r-dimS. By duality, there exists an (r-g)-chain 7 of 8 whose K boundary does not meet K and such that the intersection number y z for any q- cycle z of K coincides with the value of 8 on the homology class of z. y is called a pseudo-cycle of K of dimension n qofK and S is called its class.

On manifolds. [32] Continuous transformations of manifolds. 11: 290-292. Proc. Nat. Acad. Sci. , Proc. Nat. Acad. Sci. , 1926 and transformations Amer. Math. , 28: 1-49. [33] Intersections of complexes [34] Transformations of manifolds with a boundary. , 12: 737-739. and manifolds. Trans. Proc. Nat. Acad. Sci. I. fonctions abeliennes. p. Lobatschevskii. Kazan', Glavnauka. les 186-190 of In Memoriam [36] Manifolds with a boundary and their transformations. Trans. Amer. Math. , 29: 429-462, 848. [37] Correspondences between algebraic curves.

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